34416551052 has 60 divisors (see below), whose sum is σ = 96892571776. Its totient is φ = 10589706720.

The previous prime is 34416551047. The next prime is 34416551053. The reversal of 34416551052 is 25015561443.

34416551052 is a `hidden beast` number, since 3 + 44 + 16 + 551 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34416550998 and 34416551016.

It is not an unprimeable number, because it can be changed into a prime (34416551053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4081324 + ... + 4089747.

Almost surely, 2^34416551052 is an apocalyptic number.

It is an amenable number.

34416551052 is an abundant number, since it is smaller than the sum of its proper divisors (62476020724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34416551052 is a wasteful number, since it uses less digits than its factorization.

34416551052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171100 (or 8171089 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 34416551052 in words is "thirty-four billion, four hundred sixteen million, five hundred fifty-one thousand, fifty-two".